13729918093 has 2 divisors, whose sum is σ = 13729918094. Its totient is φ = 13729918092.

The previous prime is 13729918061. The next prime is 13729918109. The reversal of 13729918093 is 39081992731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13548261609 + 181656484 = 116397^2 + 13478^2 .

It is a cyclic number.

It is not a de Polignac number, because 13729918093 - 2⁵ = 13729918061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13729918093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13729918043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6864959046 + 6864959047.

It is an arithmetic number, because the mean of its divisors is an integer number (6864959047).

Almost surely, 2^13729918093 is an apocalyptic number.

It is an amenable number.

13729918093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13729918093 is an equidigital number, since it uses as much as digits as its factorization.

13729918093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 13729918093 in words is "thirteen billion, seven hundred twenty-nine million, nine hundred eighteen thousand, ninety-three".